Geodesic
Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 858-867 Cet article a éte moissonné depuis la source Math-Net.Ru

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A zeroth-order boundary-layer asymptotic expansion is constructed and proved for solving a mixed boundary-value problem for a parabolic equation in the critical case. A smoothing procedure is applied to the nonsmooth terms of the asymptotic expansion when constructing the solution. 
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V. Yu. Buchnev. Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 858-867. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a5/

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